Big floating point numbers

 

In Axiom

For comparison with other CAS choose from: Derive Macsyma Maple Mathematica Reduce

inputs outputs

    rn:= - 1027/1410

      1027
    - ----
      1410
                                                       Type: Fraction Integer

    cn:=(167*%i + 241)/5

    241 + 167%i
    -----------
         5
                                               Type: Fraction Complex Integer

• computation with floating point numbers

      rn :: Float
  

      - 0.7283687943 2624113475
  
  
                                                                    Type: Float

      cn :: Complex Float
  

      48.2 + 33.4 %i
                                                            Type: Complex Float

      %pi :: Float
  

      3.1415926535 897932385
                                                                    Type: Float

      cos(%pi :: Float)
  

      - 1.0
                                                                    Type: Float

  
      sin 1.0
  

      0.8414709848 0789650665
                                                                    Type: Float

• computation with an arbitrary number of digits

      digits 50;
  

                                                          Type: PositiveInteger

      %pi :: Float
  

      3.1415926535 8979323846 2643383279 5028841971 693993751
                                                                    Type: Float

      cos %pi :: Float
  

       - 1.0
                                                                    Type: Float

• should be cos(pi/6) = sqrt(3)/2

      cos(%pi/6 :: Float)
  

      0.8660254037 8443864676 3723170752 9361834714 0262690519
                                                                    Type: Float

      0.75
                                                                    Type: Float

      digits 20;
  

                                                          Type: PositiveInteger

• no underflows appears

      exp(-100000.1**2)
  

      0.1184406313 2021703038 E -4342953504
                                                                    Type: Float

• complex functions

      tan(1.0 + 1.0*%i)
  

      0.2717525853 1951171653 + 1.0839233273 386945435 %i
                                                            Type: Complex Float

      log(1.0 + 1.0*%i)
  

      0.3465735902 7997265471 + 0.7853981633 9744830961 %i
                                                            Type: Complex Float